We look at the division of 309213 by 37 
We're looking to find how many times 37 goes into 309213.

Step 1:
3 divided by 37 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 37

Step 2:
37 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 37

Going ahead to step 3:
37 can be fit into 309 8 times, resulting in a remainder of 13.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 13 after subtracting 296 from 309.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 37

Let's proceed to step 4:
37 goes into 132 3 times with a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 83.0
Subtracting 111 from 132 leaves us with 21.
Append the next digit (1) from the dividend to 21 and continue with: 211 / 37

Let's proceed to step 5:
If we divide 211 by 37, we get 5 and a remainder of 26.
The number 5 becomes the next digit in our result. 
Result so far: 835.0
Subtract 185 from 211 to get 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 37

Going ahead to step 6:
37 goes into 263 7 times with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 8357.0
Deduct 259 from 263 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
40 divided by 37 is 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 8357.1
The remainder is 3 after subtracting 37 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
30 divided by 37 is 0 with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 8357.1
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
37 goes into 300 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 8357.108
Subtracting 296 from 300 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
When dividing 40 by 37, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 8357.1081
Subtract 37 from 40 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
If we divide 30 by 37, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 8357.1081
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
37 can be fit into 300 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 8357.108108
The remainder is 4 after subtracting 296 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
If we divide 40 by 37, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 8357.1081081
If we take 37 away from 40, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
30 divided by 37 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 8357.1081081
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 8357.1081081 with a remaining 3e-08.